Question
Find the prime factorization of number 3669120.
Answer
The prime factorization of 3669120 is:
$$ 3669120 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot7\cdot7\cdot13 $$Which is the same as :
$$ 3669120 = 2^{7}\cdot3^{2}\cdot5\cdot7^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3669120 can be written as 10 × 366912. |
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| 10 can be written as 2 × 5. |
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| 366912 can be written as 2 × 183456. |
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| 183456 can be written as 2 × 91728. |
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| 91728 can be written as 2 × 45864. |
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| 45864 can be written as 2 × 22932. |
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| 22932 can be written as 2 × 11466. |
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| 11466 can be written as 2 × 5733. |
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| 5733 can be written as 3 × 1911. |
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| 1911 can be written as 3 × 637. |
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| 637 can be written as 7 × 91. |
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| 91 can be written as 7 × 13. |
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| The end nodes are the prime factors of the number 3669120. |
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